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What is Aleph-0?

Aleph-0 is the mathematical symbol for the cardinality (e.g. size) of the set of natural numbers (e.g. 1,2,3,..., to infinity).  This symbol represents the smallest infinity that mathematics has discovered.  Yes, that's right, there are infinities larger than infinity (think about that for a sec).  In fact, Georg Cantor proved in the late 1800s that there are an infinite number of cardinalities for infinity, each greater than the last.

Aleph-0 is the smallest of the infinities, representing the size of the countable sets.  A countable set is any set that has a 1-1 relationship with the set of natural numbers.  These include sets like the integers, the natural numbers, the rational numbers, etc.  A classic example of how to visualize this is the Hilbert Hotel.  Aleph-1 represents the uncountable sets which cannot be directly mapped to the natural numbers.  The best example of a set with cardinality aleph-1 is the real numbers; the numbers along the continuous line from negative infinity to infinity.  

Our venture is called aleph-0 because we host a countable number of sets with infinite possibilities.

countably infinite datasets

Our goal is to create beautiful tools and a supportive community for data geeks to solve problems and build a better world. We measure our success by minimizing the gap between data and insight.

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